The generator matrix

 1  0  1  1  1  6  1  1  0  6  1  1  1 12  1  1 10  1 12  1  1  1  1 14  1  8  1  1  6  1  1  1 14  1  1  4  1  1  1  4 12  1 10  1  1  8 12  1 14  1  8 10  1  1  1  1  1  6  1  1  2  1  1  2  6  1  0  1  1
 0  1 11  6 13  1  7  8  1  1  1  2 12  1  3  6  1  5  1  8  5  7 14  1 12  1  3 13  1  6  9  4  1  3 10  1 13  2  1  1  1 15  1 15 10  1  1  6  1 15  1  1  3 13 15  2  8  1 12 13  1  9  9  8  1 15  4  0  0
 0  0 12  0  4  0  4  8  4 12  4  0  0 12 12  8  4  4  0 12  8  8 12  0 12  4  8  0  8  4  4 12  4  0  0  0 12  8  4  0  0 12  8  4 12 12  4 12  0  0  0  4  4  8  0  8  8  8  4  4 12  4  8  8  0  4  4 12 12
 0  0  0 12  0  0  0 12  4  4  8 12  8  4 12  0  4 12  8  8  0 12  8  4  4  8  0 12  0 12  4  0  0  8  8  4  0 12  0 12  8  4  8 12 12  8  0 12 12  8  4  8  0 12  0  0 12 12 12  4  4 12  4  4  0  0 12 12  4
 0  0  0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  0  8  8  8  0  0  0  0  0  0  8  8  0  8  8  8  8  0  0  8  8  8  0  8  0  8  0  8  0  0  8  8  8  0  8  0  0  8  0  0  0  8  0  8  0  0  8
 0  0  0  0  0  8  0  8  8  0  8  0  0  0  8  0  0  0  0  0  0  0  8  8  0  8  0  8  8  8  0  8  8  0  8  8  8  0  0  8  0  8  8  8  0  0  8  8  0  0  8  0  8  0  8  0  0  8  0  8  8  0  0  8  0  0  8  8  8
 0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  0  0  0  8  8  0  8  0  0  8  0  0  8  8  8  0  0  8  0  8  0  8  8  8  8  0  0  8  0  8  8  0  0  0  0  0  8  0  8  8  8  8  8  0  0  0  0  0  8  8  0  0  0

generates a code of length 69 over Z16 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+48x^60+122x^61+277x^62+510x^63+977x^64+1766x^65+2749x^66+3598x^67+4307x^68+4452x^69+4066x^70+3604x^71+2609x^72+1732x^73+1023x^74+432x^75+209x^76+102x^77+49x^78+38x^79+23x^80+14x^81+14x^82+10x^83+16x^84+4x^85+11x^86+2x^88+2x^90+1x^94

The gray image is a code over GF(2) with n=552, k=15 and d=240.
This code was found by Heurico 1.16 in 15.5 seconds.